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superprismatic last won the day on December 2 2013

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  1. One possibility you hadn't addressed: What about roots which are 0, and possibly with multiplicity?
  2. I have one question which could make a big difference. It's a bit indelicate, so I'll put it in a spoiler.
  3. @Bonanova or anyone else who may have an interest in this: Do you have a proof that that circular arc is the shortest? Conceivably, a piece of a trigonometric curve, or exponential curve, or another conic section may be shorter. The possibilities are endless.
  4. I'll bet that the answer is divisible by 7.
  5. Nice analysis! I wish I had thought of that.
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